javascript - 如何计算元素旋转的变换平移(x，y)补偿？

Question

我正在制作个人资料图片裁剪编辑器，它允许在区域内拖动、缩放和旋转图像。

图片的拖动是通过捕捉区域的mousedown和mousemove事件，计算区域内游标开始和停止的x/y坐标，得到游标移动的距离。然后将此值添加到图像的当前内联样式转换 translate(x, y) 值或从中减去(取决于方向)。

var dragArea = document.getElementById('drag-area');
var photoImg = document.getElementById('photo');
var cropCircle = document.getElementById('crop-circle');
var cloneContainer = document.getElementById('clone-container');
var resetAll = document.getElementById('reset-all');
var scaleSlider = document.getElementById('scale-slider');
var scaleInput = document.getElementById('scale-input');
var scaleReset = document.getElementById('scale-reset');
var rotateSlider = document.getElementById('rotate-slider');
var rotateInput = document.getElementById('rotate-input');
var rotateReset = document.getElementById('rotate-reset');
var area = {}, photo = {
  translate: {
    x: 0, y: 0
  }, 
  transformOrigin: {
    x: 0, y: 0
  }
};

photoImg.src = photoSrc();
photoImg.style.top = cropCircle.offsetTop+'px';
photoImg.style.left = cropCircle.offsetLeft+'px';
photoImg.style.transform = 'scale(1) rotate(0deg) translate(0px, 0px)';
photoImg.style.transformOrigin = '0px 0px';
photoImg.onload = function() {
  if (this.naturalWidth < this.naturalHeight) {
    this.width = cropCircle.clientWidth;
  } else if (this.naturalWidth > this.naturalHeight) {
    this.height = cropCircle.clientHeight;
  } else {
    this.height = cropCircle.clientHeight;
    this.width = cropCircle.clientWidth;
  }
}

dragArea.onmouseenter = function() {
  this.onmousedown = function(e) {
    var transform = photoImg.style.transform;
    var photoStyle = window.getComputedStyle(photoImg);
    var photoMatrix = new DOMMatrix(photoStyle.transform);
    var transformOrigin = photoImg.style.transformOrigin.replace(/px/g, '').split(' ');
  
    photo = {
      translate: {},
      x: photoMatrix.m41,
      y: photoMatrix.m42,
      scale: Number(/scale\((-?\d+(?:\.\d*)?)\)/.exec(transform)[1]),
      rotate: Number(/rotate\((-?\d+(?:\.\d*)?)deg\)/.exec(transform)[1]),
      transformOrigin: {
        x: Number(transformOrigin[0]),
        y: Number(transformOrigin[1])
      }
    }

    area = {
      start: {
        x: e.offsetX + (e.target == cropCircle ? cropCircle.offsetLeft : 0),
        y: e.offsetY + (e.target == cropCircle ? cropCircle.offsetTop : 0)
      },
      distance: {
        x: 0,
        y: 0
      }
    };

    this.onmousemove = function(e) {
      area.end = {
        x: e.offsetX + (e.target == cropCircle ? cropCircle.offsetLeft : 0),
        y: e.offsetY + (e.target == cropCircle ? cropCircle.offsetTop : 0)
      };

      if (area.end.x > area.start.x) {
        area.distance.x = {
          type: 'positive', // right
          total: area.end.x - area.start.x
        }
      } else {
        area.distance.x = {
          type: 'negative', // left
          total: area.start.x - area.end.x
        }
      }
      if (area.end.y > area.start.y) {
        area.distance.y = {
          type: 'positive', // down
          total: area.end.y - area.start.y
        }
      } else {
        area.distance.y = {
          type: 'negative', // up
          total: area.start.y - area.end.y
        }
      }

      if (area.distance.x.type == 'positive') {
        photo.translate.x = photo.x + area.distance.x.total;
      } else {
        photo.translate.x = photo.x - area.distance.x.total;
      }
      if (area.distance.y.type == 'positive') {
        photo.translate.y = photo.y + area.distance.y.total;
      } else {
        photo.translate.y = photo.y - area.distance.y.total;
      }

      photoTransform({x: photo.translate.x, y: photo.translate.y});
    }
  }
}

dragArea.onmouseleave = function() {
  this.onmousemove = function(e) {
    e.preventDefault();
  }
}

dragArea.onmouseup = function() {
  this.onmousemove = function(e) {
    e.preventDefault();
  }
}

resetAll.onclick = function() {
  scaleSlider.value = scaleReset.value;
  scaleInput.value = scaleReset.value;
  rotateSlider.value = rotateReset.value;
  rotateInput.value = rotateReset.value;
  photo = {
    translate: {
      x: 0, y: 0
    }, 
    transformOrigin: {
      x: 0, y: 0
    }
  };
  photoTransform({scale: 1, rotate: '0', x: '0', y: '0'});
}

scaleSlider.oninput = function() {
  var value = this.value;
  scaleInput.value = value;
  photoTransform({scale: value});
}
scaleInput.oninput = function() {
  var value = this.value;
  this.value = value.length ? value : scaleReset.value;
  scaleSlider.value = this.value;
  photoTransform({scale: this.value});
}
scaleInput.onkeydown = function(e) {
  if (e.keyCode == 13) this.blur();
}
scaleInput.onblur = function() {
  var value = this.value;
  this.value = value.length ? value : scaleReset.value;
  scaleSlider.value = this.value;
  photoTransform({scale: this.value});
}
scaleReset.onclick = function() {
  scaleSlider.value = this.value;
  scaleInput.value = this.value;
  photoTransform({scale: this.value});
}

rotateSlider.oninput = function() {
  var value = this.value;
  rotateInput.value = value;
  photoTransform({rotate: value});
}
rotateInput.oninput = function() {
  var value = this.value;
  this.value = value.length ? value : rotateReset.value;
  rotateSlider.value = this.value;
  photoTransform({rotate: this.value});
}
rotateInput.onkeydown = function(e) {
  if (e.keyCode == 13) this.blur();
}
rotateInput.onblur = function() {
  var value = this.value;
  this.value = value.length ? value : rotateReset.value;
  rotateSlider.value = this.value;
  photoTransform({rotate: this.value});
}
rotateReset.onclick = function() {
  rotateSlider.value = this.value;
  rotateInput.value = this.value;
  photoTransform({rotate: this.value});
}

function photoTransform(property) {
  property = property || {};
  var transform = photoImg.style.transform;
  var axisX = property.axisX || photo.transformOrigin.x || (cropCircle.getBoundingClientRect().width / 2);
  var axisY = property.axisY || photo.transformOrigin.y || (cropCircle.getBoundingClientRect().height / 2);
  var scale = property.scale || photo.scale || Number(/scale\((-?\d+(?:\.\d*)?)\)/.exec(transform)[1]);
  var rotate = property.rotate || photo.rotate || Number(/rotate\((-?\d+(?:\.\d*)?)deg\)/.exec(transform)[1]);
  var translate = /translate\((-?\d+(?:\.\d*)?)px, (-?\d+(?:\.\d*)?)px\)/.exec(transform);
  var translateX = (property.x || photo.translate.x || Number(translate[1])) / scale;
  var translateY = (property.y || photo.translate.y || Number(translate[2])) / scale;

  photoImg.style.transformOrigin = axisX+'px '+axisY+'px';
  photoImg.style.transform = 'scale('+scale+') rotate('+rotate+'deg) translate('+translateX+'px, '+translateY+'px)';
  
  photo.transformOrigin = {
    x: axisX,
    y: axisY
  }
  photo.scale = scale;
  photo.rotate = rotate;
}

function photoSrc() {
  return 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}

body {
  background-color: #eff1f3;
}
#profile-picture {
  width: 370px;
  height: 330px;
  margin: auto;
}
#profile-picture * {
  user-select: none;
}
#drag-area {
  width: 100%;
  height: 100%;
  cursor: move;
  cursor: grab;
  display: block;
  overflow: hidden;
  position: relative;
  background-color: #000;
  background-repeat: repeat;
  background-image: url('data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAKCAYAAACNMs+9AAAAJElEQVQoU2M8e/asMQMaMDY2PosuxjgUFKI7GsTH5m7GIaAQAA4fIQ1WOLcWAAAAAElFTkSuQmCC');
}
#drag-area:active {
  cursor: grabbing;
}
#clone-container {
  width: 0px;
  height: 0px;
  display: block;
  overflow: hidden;
  position: absolute;
}
#photo, #photo-clone {
  display: block;
  min-width: 230px;
  min-height: 230px;
  position: absolute;
  pointer-events: none;
}
img[src=''] {
  visibility: hidden;
}
#crop-circle {
  width: 230px;
  height: 230px;
  margin: 50px auto;
  overflow: hidden;
  position: relative;
  border-radius: 50%;
  box-shadow: 0 0 0 2px #fff, 0 0 0 100vw rgba(0,0,0,0.5);
}
#circle-thirds {
  top: 0;
  width: 100%;
  height: 100%;
  overflow: hidden;
  position: absolute;
  pointer-events: none;
  border-radius: 100%;
}
#circle-thirds * {
  z-index: 1;
  position: absolute;
  background-color: rgba(226,226,226,0.5);
}
#circle-thirds .top-horizontal {
  width: 100%;
  height: 1px;
  top: 33.33333%;
}
#circle-thirds .bottom-horizontal {
  width: 100%;
  height: 1px;
  top: 66.66666%;
}
#circle-thirds .left-vertical {
  height: 100%;
  width: 1px;
  left: 33.33333%;
}
#circle-thirds .right-vertical {
  height: 100%;
  width: 1px;
  left: 66.66666%;
}
.photo-options {
  width: 100%;
  display: block;
  position: relative;
  padding-top: 15px;
}
.option-buttons {
  width: 100%;
  display: flex;
  position: relative;
  padding-bottom: 10px;
  justify-content: space-between;
}
.option-buttons button {
  width: 100%;
}
.option-buttons button + button {
  margin-left: 10px;
}
.photo-options fieldset {
  margin: 0px;
}
.photo-options fieldset + fieldset {
  margin-top: 10px;
}
.option-slider {
  display: flex;
  position: relative;
}
.option-slider input[type=range] {
  width: 50%;
  flex-shrink: 0;
}
.option-slider input[type=number] {
  width: 20%;
  margin: 0 10px;
}
.option-slider button {
  width: 30%;
}

<div id="profile-picture">
  <div id="drag-area">
    <div id="clone-container"></div>
    <img id="photo" src="">
    <div id="crop-circle">
      <div id="circle-thirds">
        <span class="top-horizontal"></span>
        <span class="bottom-horizontal"></span>
        <span class="left-vertical"></span>
        <span class="right-vertical"></span>
      </div>
    </div>
  </div>
  <div class="photo-options">
    <div class="option-buttons">
      <button id="reset-all">Reset everything</button>
    </div>
    <fieldset>
      <legend>Scale</legend>
        <div class="option-slider">
        <input type="range" id="scale-slider" min="1" max="3" step="0.01" value="1">
        <input type="number" id="scale-input" min="1" max="3" step="0.01" value="1">
        <button id="scale-reset" value="1">Reset</button>
      </div>
    </fieldset>
    <fieldset>
      <legend>Rotate</legend>
      <div class="option-slider">
        <input type="range" id="rotate-slider" min="-180" max="180" step="1" value="0">
        <input type="number" id="rotate-input" min="-180" max="180" step="1" value="0">
        <button id="rotate-reset" value="0">Reset</button>
      </div>
    </fieldset>
  </div>
</div>

问题是当图像旋转时，它的 translate(x y) 值不再对应于该区域的 x/y 坐标。

我找到了几个示例，说明如何使用旋转 Angular 弧度以及 cos 和 sin 来计算旋转正方形或矩形的四个 Angular 的 x/y 坐标。但是因为几何学不是我的强项，所以我不知道这些计算如何应用于图像的 translate(x, y) 值。

这是图像裁剪器当前工作方式的笔迹:https://codepen.io/ClubAce/pen/maNJNZ

不管图像的旋转如何，图像都应该沿着区域的 x/y 轴拖动。

我真的希望有人能帮我弄清楚如何修改脚本以产生所需的拖动行为。

谢谢。

Answer 1

你只需要改变顺序:

 photoImg.style.transform = 'scale('+scale+') rotate('+rotate+'deg)  translate('+translateX+'px, '+translateY+'px) ';

为此

photoImg.style.transform = 'scale('+scale+') translate('+translateX+'px, '+translateY+'px) rotate('+rotate+'deg) ';

Order is very important when using Transform

完整代码:

var dragArea = document.getElementById('drag-area');
var photoImg = document.getElementById('photo');
var cropCircle = document.getElementById('crop-circle');
var cloneContainer = document.getElementById('clone-container');
var resetAll = document.getElementById('reset-all');
var scaleSlider = document.getElementById('scale-slider');
var scaleInput = document.getElementById('scale-input');
var scaleReset = document.getElementById('scale-reset');
var rotateSlider = document.getElementById('rotate-slider');
var rotateInput = document.getElementById('rotate-input');
var rotateReset = document.getElementById('rotate-reset');
var area = {}, photo = {
  translate: {
    x: 0, y: 0
  }, 
  transformOrigin: {
    x: 0, y: 0
  }
};

photoImg.src = photoSrc();
photoImg.style.top = cropCircle.offsetTop+'px';
photoImg.style.left = cropCircle.offsetLeft+'px';
photoImg.style.transform = 'scale(1) rotate(0deg) translate(0px, 0px)';
photoImg.style.transformOrigin = '0px 0px';
photoImg.onload = function() {
  if (this.naturalWidth < this.naturalHeight) {
    this.width = cropCircle.clientWidth;
  } else if (this.naturalWidth > this.naturalHeight) {
    this.height = cropCircle.clientHeight;
  } else {
    this.height = cropCircle.clientHeight;
    this.width = cropCircle.clientWidth;
  }
}

dragArea.onmouseenter = function() {
  this.onmousedown = function(e) {
    var transform = photoImg.style.transform;
    var photoStyle = window.getComputedStyle(photoImg);
    var photoMatrix = new DOMMatrix(photoStyle.transform);
    var transformOrigin = photoImg.style.transformOrigin.replace(/px/g, '').split(' ');
  
    photo = {
      translate: {},
      x: photoMatrix.m41,
      y: photoMatrix.m42,
      scale: Number(/scale\((-?\d+(?:\.\d*)?)\)/.exec(transform)[1]),
      rotate: Number(/rotate\((-?\d+(?:\.\d*)?)deg\)/.exec(transform)[1]),
      transformOrigin: {
        x: Number(transformOrigin[0]),
        y: Number(transformOrigin[1])
      }
    }

    area = {
      start: {
        x: e.offsetX + (e.target == cropCircle ? cropCircle.offsetLeft : 0),
        y: e.offsetY + (e.target == cropCircle ? cropCircle.offsetTop : 0)
      },
      distance: {
        x: 0,
        y: 0
      }
    };

    this.onmousemove = function(e) {
      area.end = {
        x: e.offsetX + (e.target == cropCircle ? cropCircle.offsetLeft : 0),
        y: e.offsetY + (e.target == cropCircle ? cropCircle.offsetTop : 0)
      };

      if (area.end.x > area.start.x) {
        area.distance.x = {
          type: 'positive', // right
          total: area.end.x - area.start.x
        }
      } else {
        area.distance.x = {
          type: 'negative', // left
          total: area.start.x - area.end.x
        }
      }
      if (area.end.y > area.start.y) {
        area.distance.y = {
          type: 'positive', // down
          total: area.end.y - area.start.y
        }
      } else {
        area.distance.y = {
          type: 'negative', // up
          total: area.start.y - area.end.y
        }
      }

      if (area.distance.x.type == 'positive') {
        photo.translate.x = photo.x + area.distance.x.total;
      } else {
        photo.translate.x = photo.x - area.distance.x.total;
      }
      if (area.distance.y.type == 'positive') {
        photo.translate.y = photo.y + area.distance.y.total;
      } else {
        photo.translate.y = photo.y - area.distance.y.total;
      }

      photoTransform({x: photo.translate.x, y: photo.translate.y});
    }
  }
}

dragArea.onmouseleave = function() {
  this.onmousemove = function(e) {
    e.preventDefault();
  }
}

dragArea.onmouseup = function() {
  this.onmousemove = function(e) {
    e.preventDefault();
  }
}

resetAll.onclick = function() {
  scaleSlider.value = scaleReset.value;
  scaleInput.value = scaleReset.value;
  rotateSlider.value = rotateReset.value;
  rotateInput.value = rotateReset.value;
  photo = {
    translate: {
      x: 0, y: 0
    }, 
    transformOrigin: {
      x: 0, y: 0
    }
  };
  photoTransform({scale: 1, rotate: '0', x: '0', y: '0'});
}

scaleSlider.oninput = function() {
  var value = this.value;
  scaleInput.value = value;
  photoTransform({scale: value});
}
scaleInput.oninput = function() {
  var value = this.value;
  this.value = value.length ? value : scaleReset.value;
  scaleSlider.value = this.value;
  photoTransform({scale: this.value});
}
scaleInput.onkeydown = function(e) {
  if (e.keyCode == 13) this.blur();
}
scaleInput.onblur = function() {
  var value = this.value;
  this.value = value.length ? value : scaleReset.value;
  scaleSlider.value = this.value;
  photoTransform({scale: this.value});
}
scaleReset.onclick = function() {
  scaleSlider.value = this.value;
  scaleInput.value = this.value;
  photoTransform({scale: this.value});
}

rotateSlider.oninput = function() {
  var value = this.value;
  rotateInput.value = value;
  photoTransform({rotate: value});
}
rotateInput.oninput = function() {
  var value = this.value;
  this.value = value.length ? value : rotateReset.value;
  rotateSlider.value = this.value;
  photoTransform({rotate: this.value});
}
rotateInput.onkeydown = function(e) {
  if (e.keyCode == 13) this.blur();
}
rotateInput.onblur = function() {
  var value = this.value;
  this.value = value.length ? value : rotateReset.value;
  rotateSlider.value = this.value;
  photoTransform({rotate: this.value});
}
rotateReset.onclick = function() {
  rotateSlider.value = this.value;
  rotateInput.value = this.value;
  photoTransform({rotate: this.value});
}

function photoTransform(property) {
  property = property || {};
  var transform = photoImg.style.transform;
  var axisX = property.axisX || photo.transformOrigin.x || (cropCircle.getBoundingClientRect().width / 2);
  var axisY = property.axisY || photo.transformOrigin.y || (cropCircle.getBoundingClientRect().height / 2);
  var scale = property.scale || photo.scale || Number(/scale\((-?\d+(?:\.\d*)?)\)/.exec(transform)[1]);
  var rotate = property.rotate || photo.rotate || Number(/rotate\((-?\d+(?:\.\d*)?)deg\)/.exec(transform)[1]);
  var translate = /translate\((-?\d+(?:\.\d*)?)px, (-?\d+(?:\.\d*)?)px\)/.exec(transform);
  var translateX = (property.x || photo.translate.x || Number(translate[1])) / scale;
  var translateY = (property.y || photo.translate.y || Number(translate[2])) / scale;

  photoImg.style.transformOrigin = axisX+'px '+axisY+'px';
  photoImg.style.transform = 'scale('+scale+') translate('+translateX+'px, '+translateY+'px) rotate('+rotate+'deg) ';
  
  photo.transformOrigin = {
    x: axisX,
    y: axisY
  }
  photo.scale = scale;
  photo.rotate = rotate;
}

function photoSrc() {
  return 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}

body {
  background-color: #eff1f3;
}
#profile-picture {
  width: 370px;
  height: 330px;
  margin: auto;
}
#profile-picture * {
  user-select: none;
}
#drag-area {
  width: 100%;
  height: 100%;
  cursor: move;
  cursor: grab;
  display: block;
  overflow: hidden;
  position: relative;
  background-color: #000;
  background-repeat: repeat;
  background-image: url('data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAKCAYAAACNMs+9AAAAJElEQVQoU2M8e/asMQMaMDY2PosuxjgUFKI7GsTH5m7GIaAQAA4fIQ1WOLcWAAAAAElFTkSuQmCC');
}
#drag-area:active {
  cursor: grabbing;
}
#clone-container {
  width: 0px;
  height: 0px;
  display: block;
  overflow: hidden;
  position: absolute;
}
#photo, #photo-clone {
  display: block;
  min-width: 230px;
  min-height: 230px;
  position: absolute;
  pointer-events: none;
}
img[src=''] {
  visibility: hidden;
}
#crop-circle {
  width: 230px;
  height: 230px;
  margin: 50px auto;
  overflow: hidden;
  position: relative;
  border-radius: 50%;
  box-shadow: 0 0 0 2px #fff, 0 0 0 100vw rgba(0,0,0,0.5);
}
#circle-thirds {
  top: 0;
  width: 100%;
  height: 100%;
  overflow: hidden;
  position: absolute;
  pointer-events: none;
  border-radius: 100%;
}
#circle-thirds * {
  z-index: 1;
  position: absolute;
  background-color: rgba(226,226,226,0.5);
}
#circle-thirds .top-horizontal {
  width: 100%;
  height: 1px;
  top: 33.33333%;
}
#circle-thirds .bottom-horizontal {
  width: 100%;
  height: 1px;
  top: 66.66666%;
}
#circle-thirds .left-vertical {
  height: 100%;
  width: 1px;
  left: 33.33333%;
}
#circle-thirds .right-vertical {
  height: 100%;
  width: 1px;
  left: 66.66666%;
}
.photo-options {
  width: 100%;
  display: block;
  position: relative;
  padding-top: 15px;
}
.option-buttons {
  width: 100%;
  display: flex;
  position: relative;
  padding-bottom: 10px;
  justify-content: space-between;
}
.option-buttons button {
  width: 100%;
}
.option-buttons button + button {
  margin-left: 10px;
}
.photo-options fieldset {
  margin: 0px;
}
.photo-options fieldset + fieldset {
  margin-top: 10px;
}
.option-slider {
  display: flex;
  position: relative;
}
.option-slider input[type=range] {
  width: 50%;
  flex-shrink: 0;
}
.option-slider input[type=number] {
  width: 20%;
  margin: 0 10px;
}
.option-slider button {
  width: 30%;
}

<div id="profile-picture">
  <div id="drag-area">
    <div id="clone-container"></div>
    <img id="photo" src="">
    <div id="crop-circle">
      <div id="circle-thirds">
        <span class="top-horizontal"></span>
        <span class="bottom-horizontal"></span>
        <span class="left-vertical"></span>
        <span class="right-vertical"></span>
      </div>
    </div>
  </div>
  <div class="photo-options">
    <div class="option-buttons">
      <button id="reset-all">Reset everything</button>
    </div>
    <fieldset>
      <legend>Scale</legend>
        <div class="option-slider">
        <input type="range" id="scale-slider" min="1" max="3" step="0.01" value="1">
        <input type="number" id="scale-input" min="1" max="3" step="0.01" value="1">
        <button id="scale-reset" value="1">Reset</button>
      </div>
    </fieldset>
    <fieldset>
      <legend>Rotate</legend>
      <div class="option-slider">
        <input type="range" id="rotate-slider" min="-180" max="180" step="1" value="0">
        <input type="number" id="rotate-input" min="-180" max="180" step="1" value="0">
        <button id="rotate-reset" value="0">Reset</button>
      </div>
    </fieldset>
  </div>
</div>